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Finding the Fourth Proportional to 1,312.66, 1,969.62 and 582.76

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Solution

The fourth proportional to 1,312.66, 1,969.62 and 582.76 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.66 : 1,969.62 = 582.76 : x
  2. Step 2: Convert to fraction form
    1,312.66/1,969.62 = 582.76/x
  3. Step 3: Cross multiply
    1,312.66x = 1,969.62 × 582.76
  4. Step 4: Simplify right side
    1,312.66x = 1,147,815.75
  5. Step 5: Solve for x
    x = 1,147,815.75/1,312.66
  6. Step 6: Final answer
    x = 874.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.